Answer: The half-cell reaction occurring at cathode is
![PdCl_4^(2-)(aq)+2e^-\rightarrow Pd(s)+4Cl^-(aq)](https://img.qammunity.org/2021/formulas/chemistry/college/vu40vu7vjulb227zgksdj90q2px12cj8yx.png)
Step-by-step explanation:
Oxidation reaction occurs at anode and reduction reaction occurs at cathode.
Reduction reaction is defined as the reaction in which a chemical specie accepts electrons. The oxidation state of the chemical specie reduces.
The given balanced chemical equation is:
![PdCl_4^(2-)(aq)+Cd(s)\rightarrow Pd(s)+4Cl^-(aq)+Cd^(2+)(aq)](https://img.qammunity.org/2021/formulas/chemistry/college/mf5ldohsgcfh0mk9a7we0hyjo4eiigq3q8.png)
The half cell reaction occurring at cathode follows:
![PdCl_4^(2-)(aq)+2e^-\rightarrow Pd(s)+4Cl^-(aq)](https://img.qammunity.org/2021/formulas/chemistry/college/vu40vu7vjulb227zgksdj90q2px12cj8yx.png)
Hence, the half-cell reaction occurring at cathode is given above.